3.1 Integrals 1 to 52

\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x}+\sqrt {c+b x}} \, dx\) [1]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x}+\sqrt {c+b x}} \, dx\) [2]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x}+\sqrt {c+b x}} \, dx\) [3]
\(\int \genfrac {}{}{}{}{1}{x (\sqrt {a+b x}+\sqrt {c+b x})} \, dx\) [4]
\(\int \genfrac {}{}{}{}{1}{x^2 (\sqrt {a+b x}+\sqrt {c+b x})} \, dx\) [5]
\(\int \genfrac {}{}{}{}{x^2}{(\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\) [6]
\(\int \genfrac {}{}{}{}{x}{(\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\) [7]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\) [8]
\(\int \genfrac {}{}{}{}{1}{x (\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\) [9]
\(\int \genfrac {}{}{}{}{1}{x^2 (\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\) [10]
\(\int \genfrac {}{}{}{}{x^2}{(\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\) [11]
\(\int \genfrac {}{}{}{}{x}{(\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\) [12]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\) [13]
\(\int \genfrac {}{}{}{}{1}{x (\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\) [14]
\(\int \genfrac {}{}{}{}{1}{x^2 (\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\) [15]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x}+\sqrt {1+x}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x}+\sqrt {x}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x}+\sqrt {1+x}} \, dx\) [18]
\(\int x^3 (\sqrt {1-x}+\sqrt {1+x})^2 \, dx\) [19]
\(\int x^2 (\sqrt {1-x}+\sqrt {1+x})^2 \, dx\) [20]
\(\int x (\sqrt {1-x}+\sqrt {1+x})^2 \, dx\) [21]
\(\int (\sqrt {1-x}+\sqrt {1+x})^2 \, dx\) [22]
\(\int \genfrac {}{}{}{}{(\sqrt {1-x}+\sqrt {1+x})^2}{x} \, dx\) [23]
\(\int \genfrac {}{}{}{}{(\sqrt {1-x}+\sqrt {1+x})^2}{x^2} \, dx\) [24]
\(\int \genfrac {}{}{}{}{(\sqrt {1-x}+\sqrt {1+x})^2}{x^3} \, dx\) [25]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+b x}+\sqrt {a+c x}} \, dx\) [26]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x}+\sqrt {a+c x}} \, dx\) [27]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x}+\sqrt {a+c x}} \, dx\) [28]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x}+\sqrt {a+c x}} \, dx\) [29]
\(\int \genfrac {}{}{}{}{1}{x (\sqrt {a+b x}+\sqrt {a+c x})} \, dx\) [30]
\(\int \genfrac {}{}{}{}{1}{x^2 (\sqrt {a+b x}+\sqrt {a+c x})} \, dx\) [31]
\(\int \genfrac {}{}{}{}{x^3}{(\sqrt {a+b x}+\sqrt {a+c x})^2} \, dx\) [32]
\(\int \genfrac {}{}{}{}{x^2}{(\sqrt {a+b x}+\sqrt {a+c x})^2} \, dx\) [33]
\(\int \genfrac {}{}{}{}{x}{(\sqrt {a+b x}+\sqrt {a+c x})^2} \, dx\) [34]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {a+b x}+\sqrt {a+c x})^2} \, dx\) [35]
\(\int \genfrac {}{}{}{}{1}{x (\sqrt {a+b x}+\sqrt {a+c x})^2} \, dx\) [36]
\(\int \genfrac {}{}{}{}{1}{x^2 (\sqrt {a+b x}+\sqrt {a+c x})^2} \, dx\) [37]
\(\int \genfrac {}{}{}{}{x^4}{(\sqrt {a+b x}+\sqrt {a+c x})^3} \, dx\) [38]
\(\int \genfrac {}{}{}{}{x^3}{(\sqrt {a+b x}+\sqrt {a+c x})^3} \, dx\) [39]
\(\int \genfrac {}{}{}{}{x^2}{(\sqrt {a+b x}+\sqrt {a+c x})^3} \, dx\) [40]
\(\int \genfrac {}{}{}{}{x}{(\sqrt {a+b x}+\sqrt {a+c x})^3} \, dx\) [41]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {a+b x}+\sqrt {a+c x})^3} \, dx\) [42]
\(\int \sqrt {1-x} (\sqrt {1-x}+\sqrt {1+x}) \, dx\) [43]
\(\int x^3 (-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x}) \, dx\) [44]
\(\int x^2 (-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x}) \, dx\) [45]
\(\int x (-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x}) \, dx\) [46]
\(\int (-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x}) \, dx\) [47]
\(\int \genfrac {}{}{}{}{(-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x})}{x} \, dx\) [48]
\(\int \genfrac {}{}{}{}{(-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x})}{x^2} \, dx\) [49]
\(\int \genfrac {}{}{}{}{(-\sqrt {1-x}-\sqrt {1+x}) (\sqrt {1-x}+\sqrt {1+x})}{x^3} \, dx\) [50]
\(\int \genfrac {}{}{}{}{\sqrt {1-x}+\sqrt {1+x}}{-\sqrt {1-x}+\sqrt {1+x}} \, dx\) [51]
\(\int \genfrac {}{}{}{}{-\sqrt {-1+x}+\sqrt {1+x}}{\sqrt {-1+x}+\sqrt {1+x}} \, dx\) [52]